Could Zoë and April ever have been friends?

We know that circumstances didn't allow them to be anything more than acquaintances, when all was said and done. Would this have always been the case, no matter what? Had April not been a shifter and Zoë not been a dreamer, and they'd both met in Stark, would there have been enough in common between them to allow them to become friends?

Personally, I'm not sure. On one hand, they do have some core things in common, such as an ability to make friends easily and a certain take-no-crap stubbornness. Plus, there's that whole teen / early-twenties angst thing they have, or had, going for them. Zoë made friends with Charlie and Emma easily enough, which is a good sign, although how easy that would have been if they hadn't already had April in common is hard to determine.

On the other hand, there's things like the age difference to consider: part of the reason for April's coolness towards Zoë can be ascribed to April not wanting to be where she'd been once before, which wouldn't necessarily be a factor, in a world where neither April nor Zoë ever visited Arcadia, but remains suggestive. Plus, there's that part where there's really no way to know where April would have ended up in 2219, had she just remained a regular VAVA student. Assuming the Collapse still happened--there would be too many variables in place if it hadn't--would she have ended up like Charlie, sacrificing her passion for economic security, or would she have found success in the arts like Emma did? Would the economic depression brought on by the collapse introduce class differences between them? Would she have grown just as bitter as she did in Arcadia, for different reasons?